 Born: Apr. 30, 1777 in
Brunswick, Duchy of Brunswick (now Germany)
Died: Feb 23, 1855 in Gottingen, Hanover (now Germany)
Short Biography
Carl Gauss
studied mathematics when he was very young. When he was in school, his teacher wanted the
class to add up all the numbers from one to one hundred. Carl finished in less than ten
seconds because he had figured out the formula on his own!
While attending Caroline College (1792-95), Gauss discovered the least-squares method
and a hypothesis on the distribution of prime numbers among all numbers. In 1896, Jacques
Hadamard proved the hypothesis. During this time, Gauss did not have access to a good
library on mathematics and as a result rediscovered many accepted theorems.
In 1795, when he went to Gottingen with its excellent library, Gauss discovered the
basic theorem of quadratic residues, which deals with the problem of congruence in number
theory. In 1796 he proved the possibility of constructing a regular 17-sided polygon using
a ruler and a compass only. During his next four years, he was very productive, and ideas
came to him rapidly. Nevertheless, he could pursue only some of them. The University of
Helmstedt granted Gauss a Ph.D. for his essay that gave the first proof of the basic
theorem of algebra in 1799.

In 1801 Gauss made two primary accomplishments. The first was the production of his
"Disquisitiones Arithmeticae", an essay on number theory which continued his
answers to many distinguished problems. The second was the finding of the asteroid Ceres,
which had been briefly noticed in January, 1801 but had then gone from sight. Gauss
calculated Ceres' orbit using an updated theory and estimated when and where Ceres would
appear again. When the forecast was proved accurate, Gauss's became famous. Subsequently,
he was offered a position as astronomer at the Göttingen Observatory.

Known to some as one of the founders of modern
statistics, Carl Friedrich Gauss is best known for invoking the "Normal" (often
referred to as "Gaussian") error distribution.
To fulfill his sense of public loyalty, Gauss undertook a geodetic study of his country
did much of the work himself. In his hypothetical work on surveying, Gauss refined data he
needed from differential geometry and statistics. During the 1820s, in partnership with
scientist Wilhelm Weber, he explored many areas of physics, including optics, mechanics,
magnetism, and acoustics. In 1833 he built the first telegraph.

The sums of the numbers one through N can be found by using the equation
Sum = ( N + 1) (N / 2) or N(N + 1) / 2 (same)

What is the sum of the numbers from one to one hundred?
(N + 1) (N / 2)
= 100 + 1 (100 / 2)
= 101 (50)
= 5,050
The sum of the numbers from one to one hundred is 5050.

1.) What is the sum of the numbers from one to two hundred?
10,000
21,010
20,100
2.) What is the sum of the numbers from one to twenty-seven?
378
376
394
3.) The sum of the numbers from one to 88 is
3,828
4,832
3,916


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